867816 has 48 divisors (see below), whose sum is σ = 2492100. Its totient is φ = 271872.

The previous prime is 867803. The next prime is 867817. The reversal of 867816 is 618768.

It can be written as a sum of positive squares in 2 ways, for example, as 864900 + 2916 = 930^2 + 54^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867816.

It is not an unprimeable number, because it can be changed into a prime (867817) by changing a digit.

867816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870 + ... + 1578.

2⁸⁶⁷⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246050).

867816 is an abundant number, since it is smaller than the sum of its proper divisors (1624284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

867816 is a wasteful number, since it uses less digits than its factorization.

867816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 731 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 867816 is about 931.5664227526. The cubic root of 867816 is about 95.3840776138.

The spelling of 867816 in words is "eight hundred sixty-seven thousand, eight hundred sixteen".